4(3x-4)+14-6=14x+14-5x

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Solution for 4(3x-4)+14-6=14x+14-5x equation: 


Simplifying
4(3x + -4) + 14 + -6 = 14x + 14 + -5x

Reorder the terms:
4(-4 + 3x) + 14 + -6 = 14x + 14 + -5x
(-4 * 4 + 3x * 4) + 14 + -6 = 14x + 14 + -5x
(-16 + 12x) + 14 + -6 = 14x + 14 + -5x

Reorder the terms:
-16 + 14 + -6 + 12x = 14x + 14 + -5x

Combine like terms: -16 + 14 = -2
-2 + -6 + 12x = 14x + 14 + -5x

Combine like terms: -2 + -6 = -8
-8 + 12x = 14x + 14 + -5x

Reorder the terms:
-8 + 12x = 14 + 14x + -5x

Combine like terms: 14x + -5x = 9x
-8 + 12x = 14 + 9x

Solving
-8 + 12x = 14 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
-8 + 12x + -9x = 14 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-8 + 3x = 14 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 3x = 14 + 0
-8 + 3x = 14

Add '8' to each side of the equation.
-8 + 8 + 3x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 14 + 8
3x = 14 + 8

Combine like terms: 14 + 8 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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